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Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 287371, 6 pages
http://dx.doi.org/10.1155/2013/287371
Research Article

Complexity Analysis of a Cournot-Bertrand Duopoly Game Model with Limited Information

1School of Management, Tianjin University, Tianjin 300072, China
2College of Science, Tianjin University of Science and Technology, Tianjin 300457, China

Received 11 December 2012; Accepted 21 January 2013

Academic Editor: Qingdu Li

Copyright © 2013 Hongwu Wang and Junhai Ma. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A Cournot-Bertrand mixed duopoly game model with limited information about the market and opponent is considered, where the market has linear demand and two firms have the same fixed marginal cost. The principles of decision-making are bounded rational. One firm chooses output and the other chooses price as decision variable, with the assumption that there is a certain degree of differentiation between the products offered by firms to avoid the whole market being occupied by the one that applies a lower price. The existence of Nash equilibrium point and its local stability of the game are investigated. The complex dynamics, such as bifurcation scenarios and route to chaos, are displayed using parameter basin plots by numerical experiment. The influences of the parameters on the system performance are discussed from the perspective of economics.